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Finding the Fourth Proportional to 458.73, 686.48 and 432.07

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Solution

The fourth proportional to 458.73, 686.48 and 432.07 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 686.48 = 432.07 : x
  2. Step 2: Convert to fraction form
    458.73/686.48 = 432.07/x
  3. Step 3: Cross multiply
    458.73x = 686.48 × 432.07
  4. Step 4: Simplify right side
    458.73x = 296,603.54
  5. Step 5: Solve for x
    x = 296,603.54/458.73
  6. Step 6: Final answer
    x = 646.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.